Almost everywhere convergence of greedy algorithm with respect to Vilenkin system

DOI10.3103/S1068362318060043zbMath1440.42133OpenAlexW2924164370MaRDI QIDQ2331929

Martin G. Grigoryan, Stepan Sargsyan

Publication date: 31 October 2019

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362318060043

zbMATH Keywords

convergencegreedy algorithmFourier seriesVilenkin system

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Other transformations of harmonic type (42C20)

Related Items (1)

Menshov type correction theorems for sequences of compact operators

Cites Work

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• Divergence of decreasing rearranged Fourier series
• On behavior of Fourier coefficients by Walsh system
• On a certain system of orthogonal step functions. I
• A class of generalized Walsh functions
• Modifications of functions, Fourier coefficients and nonlinear approximation
• Certain Groups of Orthonormal Step Functions
• On generalized Walsh Fourier series, I
• Greedy approximation with respect to certain subsystems of the Walsh orthonormal system
• Mean Convergence of Generalized Walsh-Fourier Series
• On the $ L^p_\mu$-strong property of orthonormal systems
• Greedy algorithm for general biorthogonal systems

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